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Find the discriminant.\newline6r2+7r+6=06r^2 + 7r + 6 = 0

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Full solution

Q. Find the discriminant.\newline6r2+7r+6=06r^2 + 7r + 6 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form ar2+br+c=0ar^2 + br + c = 0. For the equation 6r2+7r+6=06r^2 + 7r + 6 = 0, the coefficients are:\newlinea = 66\newlineb = 77\newlinec = 66
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the discriminant formula:\newlineD=(7)2−4×6×6D = (7)^2 - 4 \times 6 \times 6
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=49−4×6×6D = 49 - 4 \times 6 \times 6\newlineD=49−144D = 49 - 144\newlineD=−95D = -95

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